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Several Problems In Nonlinear Schrödinger Equations, Tim Van Hoose
Several Problems In Nonlinear Schrödinger Equations, Tim Van Hoose
Masters Theses
“We study several different problems related to nonlinear Schrödinger equations….
We prove several new results for the first equation: a modified scattering result for both an averaged version of the equation and the full equation, as well as a set of Strichartz estimates and a blowup result for the 3d cubic problem.
We also present an exposition of the classical work of Bourgain on invariant measures for the second equation in the mass-subcritical regime”--Abstract, page iv.